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Finding the Fourth Proportional to 262,144.53, 361,722.45 and 147,407.22

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Solution

The fourth proportional to 262,144.53, 361,722.45 and 147,407.22 is: 203,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,144.53 : 361,722.45 = 147,407.22 : x
  2. Step 2: Convert to fraction form
    262,144.53/361,722.45 = 147,407.22/x
  3. Step 3: Cross multiply
    262,144.53x = 361,722.45 × 147,407.22
  4. Step 4: Simplify right side
    262,144.53x = 53,320,500,766.09
  5. Step 5: Solve for x
    x = 53,320,500,766.09/262,144.53
  6. Step 6: Final answer
    x = 203,401.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.